The mathematical structure of U-spin amplitude sum rules
Abstract We perform a systematic study of SU(2) flavor amplitude sum rules with particular emphasis on U-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all U-spin amplitude sum rules to any order of the symmetry b...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2022-08-01
|
Series: | Journal of High Energy Physics |
Subjects: | |
Online Access: | https://doi.org/10.1007/JHEP08(2022)278 |
Summary: | Abstract We perform a systematic study of SU(2) flavor amplitude sum rules with particular emphasis on U-spin. This study reveals a rich mathematical structure underlying the sum rules that allows us to formulate an algorithm for deriving all U-spin amplitude sum rules to any order of the symmetry breaking. This novel approach to deriving the sum rules does not require one to explicitly compute the Clebsch-Gordan tables, and allows for simple diagrammatic interpretation. Several examples that demonstrate the application of our novel method to systems that can be probed experimentally are provided. |
---|---|
ISSN: | 1029-8479 |